Given numbers are 974,140,598,124,936

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 974,140,598,124,936 is 11375287560.

Find LCM of 974,140,598,124,936 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 13 x 487 x 35 x 23 x 31 x 18 = 11375287560

Therefore, the lowest common multiple of 974,140,598,124,936 is 11375287560.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

974 x 140 x 598 x 124 x 936 = 9464239249920

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

974 : 1, 2, 487, 974

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

598 : 1, 2, 13, 23, 26, 46, 299, 598

124 : 1, 2, 4, 31, 62, 124

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,140,598,124,936, is 2.

Now, the common factors can be found like this.

974:2x 487

140:2x 2x 5x 7

598:2x 13x 23

124:2x 2x 31

936:2x 2x 2x 3x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 9464239249920/(2x416)

LCM = 9464239249920/832

LCM = 11375287560

Thus, we can understand that the LCM of 974,140,598,124,936 is 11375287560.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 962, 319, 889, 555, 458
• LCM of 550, 832, 965, 853, 960
• LCM of 779, 429, 998, 608, 855
• LCM of 104, 653, 497, 682, 344
• LCM of 981, 232, 417, 248, 424

1. What is the LCM of 974, 140, 598, 124, 936?

Answer: LCM of 974, 140, 598, 124, 936 is 11375287560.

2. How to calculate the LCM of 974, 140, 598, 124, 936?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 974, 140, 598, 124, 936.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.